SOLUTION: A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of t

Question 169537: A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of the photo?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of the photo?
.
Let w = width of photo
then
w+3 = length of photo
.
If a 2-inch border is added:
width is:
w+2+2 = w+4
.
length is:
w+3+2+2 = w+7
.
(w+4)(w+7) = 108
w^2 + 7w + 4w + 28 = 108
w^2 + 11w + 28 = 108
w^2 + 11w - 80 = 0
.
Factoring we get:
(w+16)(w-5) = 0
w = {5, -16}
.
We can toss out the negative solution so we get:
w = 5 inches (width)
.
Length:
w+3 = 8+3 = 11 inches (length)
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